Undergraduate Program

Undergraduate Course Descriptions

MATH 1314: College Algebra [TCCN: MATH 1314]

Study of linear and quadratic equations and inequalities, logarithmic and exponential
functions, graphs, systems of equations, matrices, partial fractions, binomial theorem,
theory of equations. Credit not given for both MATH 1314 and MATH 1324 or MATH 1332.

Prerequisite: Appropriate score on SAT, ACT, or TSI.

MATH 1324: Mathematics for Business and Economics I [TCCN: MATH 1324]

Topics include review of basic algebraic concepts, linear equations and inequalities,
mathematics of finance, matrices, introduction to linear programming, topics in probability.
Credit not given for both MATH 1324 and MATH 1314 or MATH 1332.

Study of the real number system, sets, functions, graphs, linear equations, linear
inequalities, differential and integral calculus. Credit not given to mathematics
majors, minors, or students using mathematics as a secondary teaching specialization.

Prerequisite: MATH 1324 or MATH 1314.

MATH 1332: Math for Liberal Arts Majors I [TCCN: MATH 1332]

Topics may include logic and mathematical reasoning, sets, problem solving, applications,
networks, graphs, probability, statistics, geometry, mathematics of finance, and number
theory. Credit not given for both MATH 1332 and MATH 1314 or MATH 1324.

Prerequisite: Appropriate score on SAT, ACT, or TSI.

MATH 1333: Math for Liberal Arts Majors II [TCCN: MATH 1333]

Topics include statistics, probability, combinatorics, game theory, voting theory,
and mathematics of finance.

Prerequisite: MATH 1314, MATH 1324, or MATH 1332.

MATH 1342: Statistics [TCCN: MATH 1342]

Measures of central tendency and dispersion, sampling, probability, testing of hypothesis,
correlation and regression, and analysis of variance.

Prerequisite: Appropriate score on SAT, ACT, or TSI.

MATH 1343: Statistics II

A second course in statistics covering a variety of topics in statistical inference,
including: inference of means, proportions, regression, and both one- and two-way
analysis of variance. Additional topics may be included.

Prerequisite: A grade of C or better in MATH 1342.

MATH 1350: Concepts of Modern Mathematics I [TCCN: MATH 1350]

Study of topics in logic, set theory, and conceptual foundations of elementary number
systems. Course intended for Interdisciplinary Studies majors only. Credit not given
to mathematics majors or minors.

Prerequisite: MATH 1314 or equivalent.

MATH 1351: Concepts of Modern Mathematics II [TCCN: MATH 1351]

Study of geometry and elementary probability and statistics. Course intended for Interdisciplinary
Studies majors only. Credit not given to mathematics majors or minors.

Prerequisite: MATH 1350 or equivalent.

MATH 2113: Calculus I Computer Lab

Calculus I concepts illustrated and expanded through the use of a computer algebra
system. Graphing and symbolic and numerical computations will be emphasized.

Corequisite: MATH 2413.

MATH 2114: Calculus II Computer Lab

Calculus II concepts illustrated and expanded through the use of a computer algebra
system. Graphing and symbolic and numerical computations will be emphasized.

Corequisite: MATH 2414.

MATH 2312: Precalculus [TCCN: MATH 2312]

A survey of college algebra, trigonometry and analytical geometry to prepare student
for calculus. Topics include algebraic functions and their graphs, exponential and
logarithmic functions, trigonometric functions and identities, two and three dimensional
analytical geometry. Credit not given for both MATH 2312 and MATH 1316.

Fundamentals of probability and statistics with relevant engineering and science applications.
Discrete and continuous random variables, statistical inference, parameter estimation,
regression, experimental design, and model verification. Students may not receive
credit for both MATH 3351 and MATH 4350.

Prerequisite: MATH 2414.

MATH 3365: Geometric Systems

Study of Euclidean and non-Euclidean geometries.

Prerequisite: MATH 3425.

MATH 3373: Advanced Ordinary Differential Equations

This course explores topics in applied mathematics as they pertain to the physical
sciences. Topics include linear and nonlinear systems, phase plane analysis, study
of bifurcations, transform methods, mechanics, and chaos, with a focus on theoretical
development and physical application.

Study of elementary logic, intermediate set theory, relations, functions and countable
number systems.

Prerequisite: Math 2414.

MATH 3452: Advanced Concepts of Mathematics

Study of geometry, probability and counting, number theory and math history. Course
for Interdisciplinary Studies majors only. Credit not given to mathematics majors
or minors.

Prerequisite: MATH 2330.

MATH 4160: Senior Seminar I

Reviews and integrates concepts from different branches of mathematics in the curriculum.

Prerequisite: The student must be within 3 semesters of graduation with a B.S. in
mathematics.

MATH 4161: Senior Seminar II

This "capstone" course is designed to evaluate what the student has learned as a math
major at UT Tyler and to give the student an opportunity to explore additional mathematical
ideas from start to finish outside the classroom with a faculty mentor.

Prerequisite: MATH 4160.

MATH 4301: Number Theory

A study of the theory of numbers including divisibility, prime numbers, factorization,
the Euclidean algorithm, congruences, the Chinese Remainder Theorem, Diophantine equations,
quadratic residues, quadratic reciprocity, and other topics to be selected by the
instructor.

Study of geometry of the complex plane and functions of a single complex variable,
with particular emphasis given to analytic functions, differentiation, and integration.
Topics covered will include the Cauchy-Riemann equations, harmonic functions, Cauchy's
theorem and the Cauchy integral formula, Taylor and Laurent series expansions, and
residue calculus. Special topics may include conformal mappings and applications to
partial differential equations.

Development of mathematical ideas needed to solve problems in the physical sciences
involving partial differential equations. Topics include heat conduction, wave propagation,
and Laplace equations, use of separation of variables and transform methods to solve
boundary value problems, and the development of Sturm-Liouville Theory.

Prerequisite: MATH 3305, MATH 3203 or MATH 3315, and MATH 3404.

MATH 4380: Modeling and Numerical Analysis

Study of the development of mathematical models focusing on the numerical analysis
which forms the basis for the models.

Prerequisite: MATH 3380.

MATH 4195–4395: Undergraduate Research

Directed mathematical research on a problem of mutual interest to a student and a
mathematics faculty member. An oral presentation and a written report are required
at the conclusion of this course. May be repeated for a maximum of six credit hours.

Prerequisite: Approval of department chair.

MATH 4199–4399: Independent Study

Independent study in specific areas of mathematics not covered by organized undergraduate
courses. A maximum of six credit hours for independent study courses may be applied
toward an undergraduate degree.